题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121216-59966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121216-67016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-79736.png)
(1)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-86189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-68084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-52360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-13310.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-57357.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-76904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-33153.png)
①求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-49551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-52360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-56290.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-84482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-37351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-52360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-56290.png)
解析
试题分析:
(1)分析题意,可得该三次函数过原点,根据函数
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-22865.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-33269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-72349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-33269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-33269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121219-99244.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-72349.png)
(2) ①对
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-33269.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121219-62068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-33153.png)
②求出
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121219-40328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121219-13349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-33269.png)
试题解析:
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121219-33967.png)
依据题意得:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121219-70745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121220-81936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121220-80630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121220-53020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121220-72828.png)
如图,得
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121220-21871.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121220-44038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121221-41667.png)
代入
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121221-20931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-84482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-37351.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121221-94004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121221-98684.png)
(2)①
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121221-90667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121222-80194.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121222-66768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121222-43028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121222-83505.png)
②
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121222-24126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121223-19932.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121223-16658.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121223-63677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121223-66223.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121224-91141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121224-91029.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-52360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-56290.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121224-79088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121224-24410.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121225-63378.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121224-91141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121225-78332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-52360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-56290.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121225-76478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121225-93707.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121225-81682.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121224-91141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121225-78332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-52360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-56290.png)
综上知
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121217-52360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121218-56290.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121157-47453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121157-76218.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121158-49324.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121151-23097.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121151-39762.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121129-61055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121129-13745.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121114-39763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121114-28765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121114-84610.png)
(1)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121115-88330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121115-33411.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121115-38369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121115-66619.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121115-40098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121116-92810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121116-32826.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121116-35369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121116-23051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121106-79955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017121107-63006.png)
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